We're dividing 257408 by 81 
We're looking to find how many times 81 goes into 257408.

Advancing to step 1:
2 divided by 81 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 81

Advancing to step 2:
25 divided by 81 is 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 81

Advancing to step 3:
If we divide 257 by 81, we get 3 and a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 14 after subtracting 243 from 257.
Take the next digit (4) from the dividend and append it to 14, then repeat: 144 / 81

Step 4:
When dividing 144 by 81, we get 1 with a remainder of 63.
Write down 1 as next digit of the result. 
Result so far: 31.0
Deduct 81 from 144 and we're left with 63.
Bring next digit (0) of the dividend behind the 63 and repeat the process: 630 / 81

Step 5:
630 divided by 81 is 7 with a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 317.0
If we subtract 567 from 630, we get 63.
Grab the next digit (8) from the dividend, add it to 63, then carry on: 638 / 81

Moving on to step 6:
638 divided by 81 is 7 with a remainder of 71.
Write down 7 as next digit of the result. 
Result so far: 3177.0
Subtracting 567 from 638 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 7:
710 divided by 81 is 8 with a remainder of 62.
Write down 8 as next digit of the result. 
Result so far: 3177.8
Deduct 648 from 710 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 8:
If we divide 620 by 81, we get 7 and a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 3177.87
If we take 567 away from 620, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 9:
When dividing 530 by 81, we get 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 3177.876
The remainder is 44 after subtracting 486 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 10:
81 can be fit into 440 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 3177.8765
If we take 405 away from 440, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 11:
When dividing 350 by 81, we get 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 3177.87654
The remainder is 26 after subtracting 324 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 12:
81 goes into 260 3 times with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 3177.876543
Subtracting 243 from 260 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 13:
When dividing 170 by 81, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 3177.8765432
If we take 162 away from 170, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
81 goes into 80 0 times with a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 3177.8765432
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

After the division, we end up with 3177.8765432 and a remainder of 8e-08.